8416982052864 has 1248 divisors, whose sum is σ = 31814053689600. Its totient is φ = 2174539530240.

The previous prime is 8416982052841. The next prime is 8416982052937. The reversal of 8416982052864 is 4682502896148.

8416982052864 is a `hidden beast` number, since 8 + 4 + 16 + 98 + 2 + 0 + 528 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20088262447 + ... + 20088262865.

It is an arithmetic number, because the mean of its divisors is an integer number (25492030200).

Almost surely, 2^{8416982052864} is an apocalyptic number.

8416982052864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8416982052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907026844800).

8416982052864 is an abundant number, since it is smaller than the sum of its proper divisors (23397071636736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8416982052864 is a wasteful number, since it uses less digits than its factorization.

8416982052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 8416982052864 in words is "eight trillion, four hundred sixteen billion, nine hundred eighty-two million, fifty-two thousand, eight hundred sixty-four".